Probabilistic calculus of variations;
stochastic least action principle;
conditional law of large numbers;
relative entropy;
Bernstein processes;
MECHANICS;
D O I:
暂无
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In the framework of a probabilistic deformation of the classical calculus of variations, we consider the simplest problem of constraints, and solve it in two different ways. First by a pathwise argument in the line of Euclidean Quantum Mechanics. Second from an entropic (measure theoretic) perspective.
机构:
St. Petersburg Department of the Steklov Mathematical Institute, St. PetersburgSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
Belishev M.I.
Ivanov A.V.
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h-index: 0
机构:
St. Petersburg State University, St. PetersburgSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
机构:
Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R ChinaQufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
Shao, Mengqiu
Tian, Yulu
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h-index: 0
机构:
Beijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, MOE, Beijing 100875, Peoples R ChinaQufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
Tian, Yulu
Zhao, Liang
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, MOE, Beijing 100875, Peoples R ChinaQufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China